Least Common Multiple of 8674 and 8678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8674 and 8678 the smallest integer that is 37636486 that is divisible by both numbers.

Least Common Multiple (LCM) of 8674 and 8678 is 37636486.

LCM(8674,8678) = 37636486

LCM of 8674 and 8678

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8674 and 8678

LCM of 8674 and 8678 is 37636486

Least common multiple can be found by multiplying the highest exponent prime factors of 8674 and 8678. First we will calculate the prime factors of 8674 and 8678.

Prime Factorization of 8674


2 8674
4337 4337
1

Prime factors of 8674 are 2,4337. Prime factorization of 8674 in exponential form is:

8674 = 21×43371

Prime Factorization of 8678


2 8678
4339 4339
1

Prime factors of 8678 are 2,4339. Prime factorization of 8678 in exponential form is:

8678 = 21×43391

Now multiplying the highest exponent prime factors to calculate the LCM of 8674 and 8678.

LCM(8674,8678) = 21×43371×43391
LCM(8674,8678) = 37636486

Factors of 8674

List of positive integer factors of 8674 that divides 8674 without a remainder.

1, 2, 4337, 8674

Factors of 8678

List of positive integer factors of 8678 that divides 8678 without a remainder.

1, 2, 4339, 8678

Least Common Multiple of 8674 and 8678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8674 and 8678, than apply into the LCM equation.

GCF(8674,8678) = 2
LCM(8674,8678) = ( 8674 × 8678) / 2
LCM(8674,8678) = 75272972 / 2
LCM(8674,8678) = 37636486

Properties of LCM 8674 and 8678

(i) The LCM of 8678 and 8674 is associative

LCM of 8674 and 8678 = LCM of 8678 and 8674

Related Least Common Multiples of 8674

Related Least Common Multiples of 8678

Frequently Asked Questions on LCM of 8674 and 8678

1. What is the LCM of 8674 and 8678?

Answer: LCM of 8674 and 8678 is 37636486.

2. What are the Factors of 8674?

Answer: Factors of 8674 are 1, 2, 4337, 8674. There are 4 integers that are factors of 8674. The greatest factor of 8674 is 8674.

3. What are the Factors of 8678?

Answer: Factors of 8678 are 1, 2, 4339, 8678. There are 4 integers that are factors of 8678. The greatest factor of 8678 is 8678.

4. How to Find the LCM of 8674 and 8678?

Answer:

Least Common Multiple of 8674 and 8678 = 37636486

Step 1: Find the prime factorization of 8674

8674 = 2 x 4337

Step 2: Find the prime factorization of 8678

8678 = 2 x 4339

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 37636486 = 2 x 4337 x 4339

Step 4: Therefore, the least common multiple of 8674 and 8678 is 37636486.